Fractal of the Week | Brains in Spaaace!


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Namaskar. I’ve been busy with study, working on notes, and creating new presets for MB3d now that I’ve finished resizing older ones to economize on file space, and this so far is my favorite of the bunch. It’s a truly alien-looking object that I’ve rendered as a 1600×900 wallpaper. This seems a good starting point for a larger print-sized image. I’m keeping this one’s basic preset with fewer edits than I thought might be needed during this first render shown here. Double-click to embiggen.

Boltzmann

Boltzmann

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2016 by Troy Loy. I hereby permit the free, noncommercial use of these images, with proper attribution or a link back to the original source. Thank you!

Fractals of the Week | Newton’s Bounty, So Passing Strange


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Here I’ve a few wallpapers from a parameter set using Fractal Domains as an example of how useful older apps can remain. I’ve still not found a version of the Mandelbulber app that will work with my current OS, El Capitan, so I’m forced to find new methods with apps that may seem at first more limited. FD is the first app I ever used, and the most limited. FD uses only 4 fractal types; Newton, Halley, Mandelbrot set (and its corresponding Julia sets), and a more generalized Mandelbrot set, kinda, sorta, using a method of finding ratios which allows more variation in formula exponents, like z^3, z^4, and so on, instead of only z^2 as with the regular M-set. These are all created from the same Newton fractal parameter set, and vary by far in differences in the formula numerator.

Small changes can have a big effect! Double-click to macro-transscalify each image to full size!

Tf.Tk.Tts.

FD_LK

FD_OUY

FD_UTY

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2016 by Troy Loy. I hereby permit the free, noncommercial use of these images, with proper attribution or a link back to the original source. Thank you!

Fractal of the Week | Newton’s Waking


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This is one of my more recent forays into using a different formula numerator for Newton’s method fractals. I’ve lately been looking into improving some of my better-looking, or perhaps less odious, early images for larger file sizes suitable for use as prints.

The title of this piece derives from a term used as an objection to early modern science in a poem written by William Blake, the phrase ‘Newton’s sleep’ where the Newtonian worldview was decried as being somehow deadening to the human spirit or ‘soul.’ I propose instead that science as it was then, and as it is today can do much to advance the human spirit without saddling the same with metaphysical baggage or unverifiable concepts.

As a skeptic, I don’t deny the soul, but instead define it as the complete pattern of information making up a human being, or any other living thing capable of self-awareness, of the same substance as the brain and body. At the very least, it avoids frivolously multiplying concepts, and still manages perfectly well to explain human thought and behavior.

The math used to generate all of my work is unequivocally the product of science, which in turn derives from philosophy. Newton described himself as a natural philosopher as the term ‘scientist’ wasn’t coined until the 19th century. Hence, “Newton’s Waking.”

I’m still tweaking the preset that gave rise to this piece, and will post some of the more interesting examples here in future installments.

Tf. Tk. Tts.

Lucas_Plus_One

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2016 by Troy Loy. I hereby permit the free, noncommercial use of these images, with proper attribution or a link back to the original source. Thank you!

Fractals of the Week | Mandelboxosity, Mandelmonstrosity


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G’day! this morning, I present four images from recent experimentation using Mandelbulb 3d, all based on a custom preset which I’ve labelled MB3d55, each of them of distinct Julia sets with slight variation in the seed numbers used.

These seed numbers all derive from 3d spatial coordinates located on a Mandelbox figure, just as the ordinary Julia set in 2 dimensional fractals derives its seed numbers from a unique point in the base fractal set, often the Mandelbrot set, or other similar figures. In short, there is an infinite set of possible points, and so an infinite range of possible seed numbers.

It is these seed numbers that determine the resulting precise form of the figure. Each set is unique at any given level of magnification, with those of closer seed numbers bearing closer resemblance to each other.

The first three of today’s post are uploads to my DeviantART gallery, the fourth, a direct upload to WP at 1600 x 1200 pixels. May you have a great Wednesday, and an excellent week ahead! I’ll try to make the best of it…

Tf.Tk.Tts.

Cybratine

Byeotron

Flutterbot

MB3D55UTAA

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2016 by Troy Loy. I hereby permit the free, noncommercial use of these images, as long as proper credit is given for them.

Fractal of the New Year | 2016.01.01


Here’s wishing to all a great year ahead, from me to you and yours. May your days in 2016 be bright, your dreams worthy of remembrance, and your nights large, starry, and full of wonder!

TfTkTts.

MB3D69B~

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2015 by Troy Loy. I hereby permit the free, noncommercial use of these images, as long as proper credit is given for them.

Fractal of the Week | Weave


G’day! This week’s image is a large wallpaper, 3840 x 3840 pixels, uploaded to my deviantART page. It vaguely reminds me a little of Celtic knotwork using alligator hide, from its color and pebbly texture. I’ll be using its preset for a Monte Carlo option image of a different color, and maybe a different region of the figure. This one was a Mandelbox mod, and I’ll explore it further as a Julia box surface using variations of the seed coordinates.

What might result?

I think I’d do well to find out!

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2015 by Troy Loy. I hereby permit the free, noncommercial use of these images, as long as proper credit is given for them.

Fractal of the Week | Monte Carlo Edition One: Sky Burst


Happy Monday! Here is another wallpaper, 1600 x 1200 pixels, rendered using the Monte Carlo option for MB3D, which I’m happy to say I finally have the hang of! The image took about a little less than five hours to finish, and from my biased perspective, I dislike it less. The MC process produces fractals with cleaner, crisper definition, and less image noise than the usual, quicker, standard method of rendering. In short, it takes longer, but the images are better for it overall, a sound argument for patience!

Double click the image for the full-sized file.

Talotaa frang, talotaa kas, talotaa tranga suulat.

SkyBurst

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2015 by Troy Loy. I hereby permit the free, noncommercial use of these images, as long as proper credit is given for them.